The Resource Incompressible bipolar and non-Newtonian viscous fluid flow, Hamid Bellout, Frederick Bloom

Incompressible bipolar and non-Newtonian viscous fluid flow, Hamid Bellout, Frederick Bloom

Label
Incompressible bipolar and non-Newtonian viscous fluid flow
Title
Incompressible bipolar and non-Newtonian viscous fluid flow
Statement of responsibility
Hamid Bellout, Frederick Bloom
Creator
Contributor
Author
Subject
Language
eng
Summary
The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles.The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model.The rigorous theory of multipolar viscous fluids is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of higher order spatial derivatives, to the Navier-Stokes model. A number of research groups, primarily in the United States, Germany, Eastern Europe, and China, have explored the consequences of multipolar viscous fluid models; these efforts, and those of the authors, which are described in this book, have focused on the solution of problems in the context of specific geometries, on the existence of weak and classical solutions, and on dynamical systems aspects of the theory. Thisvolume will bea valuable resource for mathematicians interested in solutions to systems of nonlinear partial differential equations, as well as to applied mathematicians, fluid dynamicists, and mechanical engineers with an interest in the problems of fluid mechanics
Member of
Cataloging source
GW5XE
Dewey number
532.00151
Index
index present
LC call number
QC151
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Advances in mathematical fluid mechanics
Label
Incompressible bipolar and non-Newtonian viscous fluid flow, Hamid Bellout, Frederick Bloom
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Incompressible Multipolar Fluid Dynamics -- Plane Poiseuille Flow of Incompressible Bipolar Viscous Fluids -- Incompressible Bipolar Fluid Dynamics: Examples of Other Flows and Geometries -- General Existence and Uniqueness Theorems for Incompressible Bipolar and non-Newtonian Fluid Flow -- Attractors for Incompressible Bipolar and non-Newtonian Flows: Bounded Domains and Space Periodic Problems -- Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels
Control code
ocn863639938
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319008905
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-00891-2
Quality assurance targets
not applicable
http://library.link/vocab/recordID
.b31758095
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)863639938
  • springer3319008919

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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